Solveeit Logo

Question

Question: The product of n positive numbers is 1, then their sum is a positive integer and is –...

The product of n positive numbers is 1, then their sum is a positive integer and is –

A

Equal to 1

B

Equal to n + n2

C

Divisible by n

D

Never less than n.

Answer

Never less than n.

Explanation

Solution

a1, a2..........an are 'n' nos Ž a1.a2 – a3.......an = 1

AM ³ GM Ž a1+a2+.ann\frac { a _ { 1 } + a _ { 2 } + \ldots . a _ { n } } { n } ³ 11/n

a1 + a2 + ........an ³ n